Assignment:
Consider the following wave equation:
utt = c2 uxx, 0
Subject to the following boundary conditions:
u(0,y, t) = 0, u(a, y, t) = 0, 00
u(x,0, t) = 0, u(x, b, t) = 0, 00
Find an expression for the solution if the initial conditions are:
a) u(x, y, 0) = xy(a-x)(b-y), ut(x,y) = 0
b) u(x, y) = 0, ut(x,y) = sin(5x/a) sin(7y/b)
c) u(x, y, 0) = xy(a-x)(b-y), ut(x,y) = sin(5x/a) sin(7y/b)